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Finding the Fourth Proportional to 8,702.92, 13,058.70 and 5,584.60

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Solution

The fourth proportional to 8,702.92, 13,058.70 and 5,584.60 is: 8,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.92 : 13,058.70 = 5,584.60 : x
  2. Step 2: Convert to fraction form
    8,702.92/13,058.70 = 5,584.60/x
  3. Step 3: Cross multiply
    8,702.92x = 13,058.70 × 5,584.60
  4. Step 4: Simplify right side
    8,702.92x = 72,927,616.02
  5. Step 5: Solve for x
    x = 72,927,616.02/8,702.92
  6. Step 6: Final answer
    x = 8,379.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.